document.write( "Question 677193: The sum of two numbers is eleven. One less than three times the smaller is equal to the larger. \n" ); document.write( "

Algebra.Com's Answer #420770 by ReadingBoosters(3246) $\"\"$ $\"About$

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Establish variables
\n" ); document.write( "x = smaller number
\n" ); document.write( "y = larger number
\n" ); document.write( "...
\n" ); document.write( "x + y = 11
\n" ); document.write( "3x - 1 = y
\n" ); document.write( "...
\n" ); document.write( "Substitute y into the first equation
\n" ); document.write( "x + 3x-1 = 11
\n" ); document.write( "4x - 1 = 11
\n" ); document.write( "Isolate the x variable
\n" ); document.write( " $\"highlight_green%28x+=+12%29\"$
\n" ); document.write( "...
\n" ); document.write( "y = 3(12)-1 = 36-1 = $\"highlight_green%28y=35%29\"$
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